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Transcript 
Trigonometric Functions: Unit
Circle Approach
1. P = (x, y) is the point on the unit circle that
corresponds to a real number t. Find the exact
values of the six trigonometric functions of t.
  1 15 
 ,

 4

4


2. P = (x, y) is the point on the unit circle that
corresponds to a real number t. Find the exact
values of the six trigonometric functions of t.
  2 2 1 


,
 3

3


3. Find the exact value. Do not use a
calculator.
sin 15 
4. Find the exact value. Do not use a
calculator.
9
cot
2
5. Find the exact value. Do not use a
calculator.
sec( 5 )
6. Find the exact value of each expression.
Do not use a calculator.

sec 45 sin 60

7. Find the exact value of each expression.
Do not use a calculator.

5
5 sec  cot
6
4
8. Find the exact values of the six
trigonometric functions of the given angle.
If any are not defined, say “not defined”.
Do not use a calculator.
7
6
9. Find the exact values of the six
trigonometric functions of the given angle.
If any are not defined, say “not defined”.
Do not use a calculator.
420

10. Find the exact values of the six
trigonometric functions of the given angle.
If any are not defined, say “not defined”.
Do not use a calculator.
 8
3
11. Use a calculator to find the
approximate value of each expression
rounded to two decimal places.
cos 37

12. Use a calculator to find the
approximate value of each expression
rounded to two decimal places.
csc 53

13. Use a calculator to find the
approximate value of each expression
rounded to two decimal places.
7
cot
12
14. A point on the terminal side of an angle
θ in standard position is given. Find the
exact value of each of the six trigonometric
functions of θ.
(12,5)
15. A point on the terminal side of an angle
θ in standard position is given. Find the
exact value of each of the six trigonometric
functions of θ.
(3,5)
16. A point on the terminal side of an angle
θ in standard position is given. Find the
exact value of each of the six trigonometric
functions of θ.
1 2
 ,

5 3 
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